Possibilities :
N⁰ = 1,
1ⁿ = 0,
1⁻¹ = 1,
(-1)ᵉᵛᵉⁿ = 1
Case 1 : N⁰ that means base can be anything or doesn't matter.
x² - 13x + 42 = 0 x = 6, 7
Case 2 : 1ⁿ
x² - 7x + 11 = 1 x = 2, 5
Case 3 : 1⁻¹
x² - 13x + 42 = -1 no real values found
Case 4 : (-1)ᵉᵛᵉⁿ = 1
x² - 7x + 11 = -1 x = 3,4
x² - 13x + 42 gives even when x = 3, 4
so both values are valid.
Total possible values are 6.
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